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Finding the Third Proportional to 434,805 and 600,805

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Solution

The third proportional to 434,805 and 600,805 is: 830,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,805 : 600,805 = 600,805 : x
  2. Step 2: Convert to fraction form
    434,805/600,805 = 600,805/x
  3. Step 3: Cross multiply
    434,805x = 600,805 × 600,805
  4. Step 4: Simplify right side
    434,805x = 360,966,648,025
  5. Step 5: Solve for x
    x = 360,966,648,025/434,805
  6. Step 6: Final answer
    x = 830,180.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.